Problem Solving using Vectors (AQA A-Level Mathematics): Quizzes

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Problem Solving using Vectors
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Convert position vector 5i+3j5i + 3j to column form.

(53)\begin{pmatrix} 5 \\ 3 \end{pmatrix}

Given A=(32)A = \begin{pmatrix} 3 \\ 2 \end{pmatrix} and B=(75)B = \begin{pmatrix} 7 \\ 5 \end{pmatrix}, find AB→\overrightarrow{AB}.

(43)\begin{pmatrix} 4 \\ 3 \end{pmatrix}

In parallelogram ABCDABCD, which vectors are equal?

BC→=AD→\overrightarrow{BC} = \overrightarrow{AD}

Given A=(12)A = \begin{pmatrix} 1 \\ 2 \end{pmatrix} and AD→=(3−1)\overrightarrow{AD} = \begin{pmatrix} 3 \\ -1 \end{pmatrix}, find position vector DD.

(41)\begin{pmatrix} 4 \\ 1 \end{pmatrix}

Which vector is parallel to (21)\begin{pmatrix} 2 \\ 1 \end{pmatrix}?

(63)\begin{pmatrix} 6 \\ 3 \end{pmatrix}

What defines a parallelogram?

Two pairs of parallel sides

What defines a rhombus?

Four sides of the same length

If AB→=CD→\overrightarrow{AB} = \overrightarrow{CD} and BC→=AD→\overrightarrow{BC} = \overrightarrow{AD}, what is shape ABCDABCD?

Parallelogram

Find gradient of line from (2,3)(2, 3) to (6,7)(6, 7).

11

Lines with gradients 22 and −12-\frac{1}{2} are:

Perpendicular

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